The relationship between the cost and the miles driven, as presented on the graph is an illustration of a linear equation or a linear graph.
- The growth rate per year is $0.36 per year
- The cost of owning and operating the car is $7201.44
A. The growth per year
This simply means that we calculate the slope (m) of the graph.
This is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the graph, we have:
[tex](x_1,y_1) = (5000, 1800)[/tex]
[tex](x_2,y_2) = (20000, 7200)[/tex]
So, we have:
[tex]m = \frac{7200 - 1800}{20000 - 5000}[/tex]
[tex]m = \frac{5400}{15000}[/tex]
[tex]m = 0.36[/tex]
Hence, the growth per year is: $0.36 per year
B. The cost, when the number of miles is 20004 miles
The equation of a straight line is:
[tex]y = mx + b[/tex]
Where:
[tex]m = 0.36[/tex] --- the slope
[tex]b = 0[/tex] --- the point where the graph crosses the y-axis.
So, we have:
[tex]y = 0.36x + 0[/tex]
[tex]y = 0.36x[/tex]
The cost when the miles driven is 20004, is:
[tex]y = 0.36 \times 20004[/tex]
[tex]y = 7201.44[/tex]
The cost of owning and operating the car is $7201.44
Read more about linear graphs at:
https://brainly.com/question/11897796
